Let be the function given by for .
a) Calculate the fourier coefficients of and show that...
b) What is the Fourier series of in terms of sines and cosines?
My answer, .
c) Taking , prove that
Now this, I suspect, should have just been a simple application of Parsevals theorem but I'm going wrong somewhere.
But with the left hand side is 0.
Thus we get,
So clearly I'm doing something wrong... Most likely in that last 2 steps...